Let us note that orders of magnitude satisfy the same properties as valuations.
The smallest order monomials
are also the largest in absolute valueand therefore the tropical equilibration condition
means that each polynomial
equation should contain at least two dominant terms of minimal order and opposite signs.
These conditions
were justified heuristically using the concept of compensation of
dominant monomials [1]}, [2]}, [3]}, [4]}, [5]}, [6]}.
